Math+1550+Homework+7f

Math+1550+Homework+7f - Math 1550 Homework 7 Fall2005 1....

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1 Math 1550 Homework 7 Fall2005 1. Evaluate the limit. c. d. 2. A man wishes to plant a garden that is to have an area of 1440 sq. ft. If the design of the garden is a rectangle with an 8 ft wide walkway on the north and south sides and a 5 ft wide walkway on the east and west sides, determine the dimensions of the garden that will minimize the total area of the garden and walkways. Let x be the length of the sides running east-west with . 3. The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $800 per month. A market survey indicates that, on average, one additional unit will remain vacant for each $10 increase in the rent. What rent should the manager charge to maximize the revenue? Show that has a root in the interval [1,2]. Using x 1 =1.3, determine the third approximation of the root, x 3 , generated by Newton’s method. Express your answer to 4 decimal places. 5. Find f(x) , f(0) = 1 c. , f(0) = 5 , f(1) = 3 d. , f(0) = 2, f(1) = 0 6. If a. Find the Riemann sum for f(x) with 6 terms taking the sample points as the right
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Math+1550+Homework+7f - Math 1550 Homework 7 Fall2005 1....

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